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- Categorification abstract "In mathematics, categorification is the process of replacing set-theoretic theorems by category-theoretic analogues. Categorification, when done successfully, replaces sets by categories, functions with functors, and equations by natural isomorphisms of functors satisfying additional properties. The term was coined by Louis Crane.Categorification is the reverse process of decategorification. Decategorification is a systematic process by which isomorphic objects in a category are identified as equal. Whereas decategorification is a straightforward process, categorification is usually much less straightforward, and requires insight into individual situations.".
- Categorification wikiPageExternalLink 1011.0144.
- Categorification wikiPageExternalLink 1401.6037.
- Categorification wikiPageExternalLink fitem?id=CTGDC_1998__39_1_3_0.
- Categorification wikiPageID "1596969".
- Categorification wikiPageLength "5764".
- Categorification wikiPageOutDegree "35".
- Categorification wikiPageRevisionID "635737782".
- Categorification wikiPageWikiLink Cahiers_de_Topologie_et_Géométrie_Différentielle_Catégoriques.
- Categorification wikiPageWikiLink Categorical_ring.
- Categorification wikiPageWikiLink Category:Algebraic_topology.
- Categorification wikiPageWikiLink Category:Category_theory.
- Categorification wikiPageWikiLink Category_(category_theory).
- Categorification wikiPageWikiLink Category_(mathematics).
- Categorification wikiPageWikiLink Category_theory.
- Categorification wikiPageWikiLink Character_(mathematics).
- Categorification wikiPageWikiLink Combinatorial_proof.
- Categorification wikiPageWikiLink Equality_(mathematics).
- Categorification wikiPageWikiLink Equation.
- Categorification wikiPageWikiLink Function_(mathematics).
- Categorification wikiPageWikiLink Functor.
- Categorification wikiPageWikiLink Grothendieck_group.
- Categorification wikiPageWikiLink Homology_(mathematics).
- Categorification wikiPageWikiLink Homology_theory.
- Categorification wikiPageWikiLink Khovanov_homology.
- Categorification wikiPageWikiLink Knot_invariant.
- Categorification wikiPageWikiLink Knot_theory.
- Categorification wikiPageWikiLink List_of_loop_quantum_gravity_researchers.
- Categorification wikiPageWikiLink Littlewood–Richardson_rule.
- Categorification wikiPageWikiLink Louis_Crane.
- Categorification wikiPageWikiLink Mathematics.
- Categorification wikiPageWikiLink Modularity.
- Categorification wikiPageWikiLink Module.
- Categorification wikiPageWikiLink Morphism.
- Categorification wikiPageWikiLink Natural_transformation.
- Categorification wikiPageWikiLink Number_theory.
- Categorification wikiPageWikiLink Ring_(mathematics).
- Categorification wikiPageWikiLink Ring_of_symmetric_functions.
- Categorification wikiPageWikiLink Schur_class.
- Categorification wikiPageWikiLink Set_(mathematics).
- Categorification wikiPageWikiLink Set_theory.
- Categorification wikiPageWikiLink Specht_module.
- Categorification wikiPageWikiLink Symmetric_function.
- Categorification wikiPageWikiLink Symmetric_functions.
- Categorification wikiPageWikiLink Symmetric_group.
- Categorification wikiPageWikiLink Theorem.
- Categorification wikiPageWikiLink Topology.
- Categorification wikiPageWikiLinkText "Categorification".
- Categorification wikiPageWikiLinkText "categorification".
- Categorification wikiPageWikiLinkText "categorified".
- Categorification wikiPageWikiLinkText "categorifies".
- Categorification wikiPageWikiLinkText "categorify".
- Categorification wikiPageWikiLinkText "decategorified".
- Categorification wikiPageWikiLinkText "many objects".
- Categorification hasPhotoCollection Categorification.
- Categorification wikiPageUsesTemplate Template:Cattheory-stub.
- Categorification wikiPageUsesTemplate Template:Citation.
- Categorification subject Category:Algebraic_topology.
- Categorification subject Category:Category_theory.
- Categorification hypernym Process.
- Categorification type Election.
- Categorification type Function.
- Categorification comment "In mathematics, categorification is the process of replacing set-theoretic theorems by category-theoretic analogues. Categorification, when done successfully, replaces sets by categories, functions with functors, and equations by natural isomorphisms of functors satisfying additional properties. The term was coined by Louis Crane.Categorification is the reverse process of decategorification.".
- Categorification label "Categorification".
- Categorification sameAs m.05fd40.
- Categorification sameAs Q5051825.
- Categorification sameAs Q5051825.
- Categorification wasDerivedFrom Categorification?oldid=635737782.
- Categorification isPrimaryTopicOf Categorification.